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Finding the Fourth Proportional to 238,102.16, 328,609.32 and 137,498

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Solution

The fourth proportional to 238,102.16, 328,609.32 and 137,498 is: 189,763.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,102.16 : 328,609.32 = 137,498 : x
  2. Step 2: Convert to fraction form
    238,102.16/328,609.32 = 137,498/x
  3. Step 3: Cross multiply
    238,102.16x = 328,609.32 × 137,498
  4. Step 4: Simplify right side
    238,102.16x = 45,183,124,281.36
  5. Step 5: Solve for x
    x = 45,183,124,281.36/238,102.16
  6. Step 6: Final answer
    x = 189,763.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.